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Magnetic non destructive methods are frequently used in the industries of steel since magnetic behavior demonstrates a good sensitivity to the microstructural and/or mechanical changes. Magnetic behavior is especially sensitive to plastic straining that occurs for example with the manufacturing of materials (cutting, punching). Evaluating the state of a material from a measurement requires a modeling of the behaviors of the material (local constitutive laws) involved that must on the other hand demonstrate low computation time. Such magneto-mechanical modeling is proposed, based on the so-called multidomain model.